Data Science and Machine Learning (Theory and Projects) A to Z - Continuous Random Variables: Exponential Solution 01

The video tutorial explains the impact of varying Lambda values on the exponential distribution. It shows that a smaller Lambda value, like 0.5, results in a slower decay and a smaller peak. As Lambda increases to 1, the peak becomes higher and the decay rate faster. With even higher Lambda values, the decay becomes rapid, and the peak approaches infinity. The key takeaway is that larger Lambda values lead to faster decay and larger peaks in the exponential curve.

What happens to the exponential distribution curve when the Lambda value is set to 0.5?

• The curve decays rapidly with a high peak.

• The curve decays slowly with a small peak.

• The curve remains constant with no peak.

• The curve decays slowly with a high peak.

How does the exponential distribution curve change when the Lambda value is increased from 0.5 to 1?

• The peak decreases and the decay rate remains constant.

• The peak decreases and the decay rate slows down.

• The peak remains the same and the decay rate increases.

• The peak increases and the decay rate becomes faster.

What is the general effect on the exponential distribution curve as the Lambda value continues to increase?

• The curve decays more rapidly and the peak becomes larger.

• The curve decays more rapidly and the peak becomes smaller.

• The curve remains unchanged regardless of Lambda value.

• The curve decays more slowly and the peak becomes smaller.

As Lambda increases, what happens to the peak value of the exponential distribution curve?

• It becomes very large, potentially approaching infinity.

• It fluctuates randomly.

• It remains constant.

• It decreases to zero.

What is the relationship between Lambda and the decay rate of the exponential distribution curve?

• Smaller Lambda results in faster decay.

• Lambda has no effect on decay rate.

• Larger Lambda results in faster decay.

• Larger Lambda results in slower decay.